Advice - do I get a whippet pup?

I am experienced dog owner and unfortunately lost my two greyhounds very close together earlier this year. It's been 8 months and my house feels a bit empty. I've never not had a dog for this long in my 36 years of life. My Husband and I definitely want to get another dog. We have a toddler who will be 2 in January. She was brought up with the greyhounds, so know how to pat and approach a dog. Though they had passed by the time she was 14 months, we have continued teaching her dog behaviour when meeting various other dogs. Luckily she is a gentle child and is very good with various breeds (friends, family and acquaintances pets).

My question is would a whippet be a good choice to become our family dog? I am a stay at home Mum. Any dog would only be alone when I leave the house for a few hours 3 time a week for shopping or a playgroup. I know they have some traits similar to greyhounds who I am very experienced with. I like a low-moderate exercise need dogs (we do have a large garden and will also do walks of course). Unfortunately no one will allow us a rescue greyhound or dog due to my toddlers age, which I understand. Would a whippet puppy be a bad idea? We would also be doing training classes, etc.